2. Superposition (35%) In this problem we consider the electric field generated by combinations of some...
a). Find the electric field along the axis of a thin disk placed in the xy plane, at a distance z from the disk center (the field at distance z from center). It has a uniform charge of density σ and an outer radius R. b). Now consider a similar disk with annular shape, it is the disk in part (a) but with a concentric hole of radius R/2. Calculate the electric field along the z axis. c). Find electric...
PRACTICE: Consider the three infinite sheets of charge shown in the figure. The first sheet has chage density 01 = +10uC/m² and lies on the yz-plane. The second sheet has charge density of 02 = +10uC/m2 and is parallel to the yz-plane at x = 0.10 m. The third sheet has charge density of 03 = +10uC/m2 and is parallel to the yz-plane at x = 0.20 m. Determine the electric field at the point P (0.05 m, 0). 02
1.16 Consider an infinite non-conducting plane having a charge density of 1 C/m^2. Sketch electric field lines and indicate the value of electric field 1 m away from the plane 1.17 Let’s add a point charge of -1C, at a distance 1 m from the plane in problem 1.16. What would be the force onto the charge? 1.18 How much work will it take to remove the point charge in 1.17 from where it was infinitely far away from the...
an infinite plane sheet has charge density σ=3microcoulomb/m^2. A) find the electric field at a distance 10m away from the sheet. B) find the electric potential at the same point. c) find the same the electric field at the same location when two infinite sheets are placed 0.1m next to each other, with opposite charge density on each sheet.
an infinite plane sheet has charge density σ=3microcoulomb/m^2. A) find the electric field at a distance 10m away from the sheet. B) find the electric potential at the same point. c) find the same the electric field at the same location when two infinite sheets are placed 0.1m next to each other, with opposite charge density on each sheet.
(a) Consider a parallel plate capacitor with static charge density σ and no medium between the disk and the capacitor. Suppose the capacitor is placed in such a way that the xy plane bisects its interior and the z axis is perpendicular to the plate Assume that the "home" frame is stationary relative to the capacitance, but the "other" frame is moving in the positive x direction at the speed of v. Find the electric field Cartesian com ponents in...
In solving for the magnitude of the electric field E⃗(z) produced by a sheet charge with charge density σ, use the planar symmetry since the charge distribution doesn't change if you slide it in any direction of xy plane parallel to the sheet. Therefore at each point, the electric field is perpendicular to the sheet and must have the same magnitude at any given distance on either side of the sheet. To take advantage of these symmetry properties, use a...
Part B Constants Find the direction of the electric field in terms of a and the distance r from the axis of the tube for r<a A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It carries charge per unit length -a where a is a positive constant with units of C/m. A line of charge lies along the axis of the tube. The line of charge has charge per unit length ta parallel...
6. Consider a line charge with uniform charge density λ lying on the x-axis from z =-L to 0. a) Determine the electric field a distance y above the right end of the line charge (point P in the figure) and a distance r to the right of the line charge (point P2 in the figure). P2 b) In lecture you saw the electric field of an infinite line charge. Now we will consider a "semi-infinite" line charge; that is,...
Part A Constants Find the magnitude of the net electric field these sheets produce at a point 4.00 cm to the right of sheet A. Express your answer with the appropriate units Two very large parallel sheets are 5.00 em apart. Sheet A carries a uniform surface charge density of -7.30 Cm and sheet B, which is to the right of A, carries a uniform charge density of-13. C/m2 .Assurne that the sheets are large enough to he treated as...